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We examine a nonlocal interaction that results from expressing the QCD Hamiltonian entirely in terms of gauge-invariant quark and gluon fields. The interaction couples one quark color-charge density to another, much as electric charge…

High Energy Physics - Theory · Physics 2009-10-31 Lusheng Chen , Kurt Haller

The effective quark Lagrangian is derived from the QCD action by means of averaging over the vacuum fields. In the limit of large N_c and keeping for simplicity the lowest order gluonic correlator one obtains nonlinear equations for the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yu. A. Simonov

Nonperturbative studies of the strong running coupling constant in the infrared region are discussed. Starting from the analyses of the Dyson -- Schwinger equations in the gauge sector of QCD, the conclusion is made on an incomplete fixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

Recent data of lattice measurements of the gauge-invariant nonlocal scalar quark condensates are analyzed to extract the short--distance correlation length, 1/\lambda_q, and to construct an admissible Ansatz for the condensate behaviour in…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Bakulev , S. V. Mikhailov

We confront the finite volume and small quark mass behaviour of the scalar condensate, determined numerically in quenched lattice QCD using Neuberger fermions, with predictions of quenched chiral perturbation theory. We find that quenched…

High Energy Physics - Lattice · Physics 2009-10-31 P. Hernandez , K. Jansen , L. Lellouch

We study the phase diagram of quark matter and nuclear properties based on the strong coupling expansion of lattice QCD. Both of baryon and finite coupling correction are found to have effects to extend the hadron phase to a larger mu…

Nuclear Theory · Physics 2008-11-26 A. Ohnishi , N. Kawamoto , K. Miura , K. Tsubakihara , H. Maekawa

The SU(4) Polyakov linear sigma model (PLSM) is extended towards characterizing the chiral condensates, $\sigma_l$, $\sigma_s$ and $\sigma_c$ of light, strange and charm quarks, respectively and the deconfinement order-parameters $\phi$ and…

High Energy Physics - Phenomenology · Physics 2018-04-19 Abdel Magied Abdel Aal Diab , Abdel Nasser Tawfik

Taking the gauge invariant quark correlator as an example, in this work we perform a direct comparison of lattice QCD simulations with the QCD sum rule approach. The quark correlator is first investigated in the framework of QCD sum rules…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. G. Dosch , M. Eidemuller , M. Jamin , E. Meggiolaro

Using the quark-meson coupling (QMC) model, we study nuclear matter from the point of view of quark degrees of freedom. Performing a re-definition of the scalar field in matter, we transform QMC to a QHD-type model with a non-linear scalar…

Nuclear Theory · Physics 2009-11-07 Koichi Saito

In these proceedings, we investigate non-perturbative models for Quantum Chromodynamics (QCD) motivated by the behavior of the Landau-gauge lattice gluon propagator with the purpose of testing their validity in the perturbative regime of…

High Energy Physics - Phenomenology · Physics 2018-08-28 C. Mena , L. F. Palhares

Gauge invariant correlators in QCD are studied on the lattice.A Systematic determination of the correlation lengths for gluon field strength correlators and quark correlators is made.The measurement of the gluon and quark condensates is…

High Energy Physics - Lattice · Physics 2019-08-17 A. Di Giacomo , M. D'Elia , H. Panagopoulos , E. Meggiolaro

QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean…

High Energy Physics - Theory · Physics 2016-08-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

Using the SU(3)c lattice QCD with the Kogut-Susskind fermion at the quenched level, we study the quark-gluon mixed condensate g<\bar{q} sigma G q>, which is another chiral order parameter. For each current quark mass of m_q=21, 36, 52 MeV,…

High Energy Physics - Lattice · Physics 2009-11-07 Takumi Doi , Noriyoshi Ishii , Makoto Oka , Hideo Suganuma

Using the linear sigma model, we study the evolutions of the quark condensate and of the nucleon mass in the nuclear medium. Our formulation of the model allows the inclusion of both pion and scalar-isoscalar degrees of freedom. It…

Nuclear Theory · Physics 2009-11-06 G. Chanfray , M. Ericson , P. A. M. Guichon

We study a chiral relativistic theory of nuclear matter aimed at the desciption of both the binding and saturation properties and the QCD properties, quark condensate and QCD susceptibilities. For this purpose the nucleon scalar response of…

Nuclear Theory · Physics 2007-05-23 G. Chanfray , M. Ericson

Analysing two models of four-quark interactions which are of intrinsic difference in the behaviours of their correlation lengths some issues of quark condensations are considered. It is demonstrated that the quark condensates substantially…

High Energy Physics - Phenomenology · Physics 2013-11-26 S. V. Molodtsov , G. M. Zinovjev

We extend the quark-meson coupling (QMC) model to incorporate chiral symmetry. The relationship between the QMC model and chiral perturbation theory is also discussed. The nuclear central potential is modified by the effect of internal…

Nuclear Theory · Physics 2015-05-18 Koichi Saito

We study the quark-gluon mixed condensate g<\bar{q} sigma G q>, using the SU(3)c lattice QCD with the Kogut-Susskind fermion at the quenched level. We generate 100 gauge configurations on the 16^4 lattice with \beta = 6.0, and perform the…

High Energy Physics - Lattice · Physics 2009-11-10 Takumi Doi , Noriyoshi Ishii , Makoto Oka , Hideo Suganuma

There are several scales in the QCD as the theory of strong interaction: the vacuum gluonic condensate (as the divergence of the dilatation current), the nucleon mass as the basic mass scale in our universe, which is connected to the string…

High Energy Physics - Phenomenology · Physics 2022-01-19 Yu. A. Simonov

The theory of strong interactions, QCD, is described in terms of a few parameters, namely the strong coupling constant alpha_s and the quark masses. We show how these parameters can be determined reliably using computer simulations of QCD…

Computational Physics · Physics 2007-05-23 Rainer Sommer , Hartmut Wittig